GATE Mechanical Engineering (ME) 2019 Shift 2 Solved Paper

Question : 50 of 65

Marks: +1, -0

A prismatic, straight elastic, cantilever beam is subjected to a linearly distributed transverse load as shown below. If the beam length is L, Young’s modulus E, and area moment of inertia I, the magnitude of the maximum deflection is

$\;{q L^{4}}/{60 E I}$
$\;{q L^{4}}/{30 E I}$
$\;{q L^{4}}/{10 E I}$
$\;{q L^{4}}/{15 E I}$

Validate

Solution:

The maximum deflection of the cantilever beam subjected to uniformly varying load (UVL) is given by

\;{q L^{4}}/{30 E I}

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